Three-Dimensional Geometry in the Georgia Geometry
Standards
Mathematics 1
1. Students will investigate properties of geometric
figures in the coordinate plane.
2. Students will understand and use the language of
mathematical argument and justification.
3. Students will discover, prove, and apply properties of
triangles, quadrilaterals, and other polygons.
Mathematics 2
1. Students will identify and use special right
triangles.
2. Students will define and apply sine, cosine, and
tangent ratios to right triangles.
3. Students will understand the properties of circles.
4. Students will find and compare the measures of
spheres.
a. Use and apply surface area and volume of a
sphere.
b. Determine the effect on surface area and volume
of changing the radius or diameter of a sphere.
Mathematics 3
1. Students will investigate the relationships between
lines and circles.
2. Students will recognize, analyze, and graph the
equations of the conic sections (parabolas, circles, ellipses, and hyperbolas).
3. Students will investigate planes and spheres.
a. Plot the point (x, y, z) and understand it as a
vertex of a rectangular prism.
b. Apply the distance formula in 3-space.
c. Recognize and understand equations of planes and
spheres.
Mathematics 4
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Geometry is not
explicitly addressed.